Alphabeta MathHow statement and proof provenance work
The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.
- Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
- AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
- AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.
These labels describe origin, not correctness: citations and verification chips remain separate evidence.
This page fixes the blockade conventions and the role of order
On this page, a blockade is an ordered sequence of disjoint vertex sets. Length and width ignore that order, but directional notions do not: an -sparse blockade is one in which later blocks are -sparse to earlier ones. So reversing the block order can destroy -sparsity even when every unordered pair of blocks is weakly sparse.
The page also keeps the source convention that all graphs are finite, simple, and undirected.
Used by
Nothing in the library uses this result yet.
Dependency tree · 0 levels
Nothing. This result depends on no other item in the library.
Sources
- T. H. Nguyen, Notes on Recent Work on the Erdős–Hajnal Conjecture (standard reference, not scraped)
- Shenwei Huang, Yiao Ju, and Yidong Zhou, Erdős-Hajnal beyond the five-vertex path (standard reference, not scraped)